In the SAR image processing, wavelet transform has its unique advantages which analyzes image subtly and has fast algorithm that can resolve and reconstruct the image in short time. Partial differential equation's nonlinear diffusion could preserve the edges and textures, but the large SAR image statistics increase the iterative calculation and decrease the efficiency. The method of combining PDE(partial differential equation)'s nonlinear diffusion and wavelet transformation was proposed to remove speckles of SAR image. The experimental results show that the method can not only work quickly but also keep the image's edges and detail information well.